137600064 has 84 divisors (see below), whose sum is σ = 450762624. Its totient is φ = 39313152.

The previous prime is 137600051. The next prime is 137600087. The reversal of 137600064 is 460006731.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×137600064² = 37867555225608192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13032 + ... + 21095.

Almost surely, 2^137600064 is an apocalyptic number.

137600064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137600064 is an abundant number, since it is smaller than the sum of its proper divisors (313162560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137600064 is a wasteful number, since it uses less digits than its factorization.

137600064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34152 (or 34139 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 137600064 is about 11730.3053668692. The cubic root of 137600064 is about 516.2652323107.

Adding to 137600064 its reverse (460006731), we get a palindrome (597606795).

The spelling of 137600064 in words is "one hundred thirty-seven million, six hundred thousand, sixty-four".